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Finding the Fourth Proportional to 468,722.52, 646,833.84 and 253,857.66

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Solution

The fourth proportional to 468,722.52, 646,833.84 and 253,857.66 is: 350,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,722.52 : 646,833.84 = 253,857.66 : x
  2. Step 2: Convert to fraction form
    468,722.52/646,833.84 = 253,857.66/x
  3. Step 3: Cross multiply
    468,722.52x = 646,833.84 × 253,857.66
  4. Step 4: Simplify right side
    468,722.52x = 164,203,725,031.21
  5. Step 5: Solve for x
    x = 164,203,725,031.21/468,722.52
  6. Step 6: Final answer
    x = 350,321.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.